Efficient DMFT-simulation of the Holstein-Hubbard Model

Abstract

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field approximation, where it allows access to strong interactions, very low temperatures and arbitrary fillings. We show that a renormalized Migdal-Eliashberg theory provides a reasonlable description of the phonon contribution to the electronic self energy in strongly doped systems, but fails if the quasiparticle energy becomes of order of the phonon frequency.

Published version

References in corpus (20)

• Double Exchange Alone Does Not Explain the Resistivity of $L{a}_{1-x}S{r}_{x}Mn{O}_3$
• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• A continuous-time solver for quantum impurity models
• Superconductivity in Fullerides
• Hybridization expansion impurity solver: General formulation and application to Kondo lattice and two-orbital models
• Anisotropic electron-phonon interaction in the cuprates
• Strongly Correlated Superconductivity
• On the Fermi Liquid to Polaron Crossover I: General Results
• Polaron in t-J model
• The ALPS project: open source software for strongly correlated systems
• Pressure-induced metal-insulator transition in LaMnO3 is not of Mott-Hubbard type
• Phase Separation close to the density-driven Mott transition in the Hubbard-Holstein model
• First- and Second Order Phase Transitions in the Holstein-Hubbard Model
• Holstein model in infinite dimensions at half-filling
• Polaronic Quasiparticles in a Strongly Correlated Electron Band
• Dynamical Mean-Field Theory of Electron-Phonon Interactions in Correlated Systems: Application to Isotope Effects on Electronic Properties
• Electron-Phonon Interactions in Correlated Systems: Adiabatic Expansion of the Dynamical Mean-Field Theory
• Strong-coupling expansions for the anharmonic Holstein model and for the Holstein-Hubbard model
• Semiclassical approach to calculating the influence of local lattice fluctuations on electronic properties of metals
• Effective electron-electron and electron-phonon interactions in the Hubbard-Holstein model

Cited by in corpus (134)

• Continuous-time Monte Carlo methods for quantum impurity models
• Nonequilibrium dynamical mean-field theory and its applications
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Real-time path integral approach to nonequilibrium many-body quantum system
• Diagrammatic Monte Carlo simulation of non-equilibrium systems
• Satellites and large doping- and temperature-dependence of electronic properties in hole-doped BaFe2As2
• Screening and Non-local Correlations in the Extended Hubbard Model from Self-Consistent Combined GW and Dynamical Mean Field Theory
• Real-Time Diagrammatic Monte Carlo for Nonequilibrium Quantum Transport
• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Mott physics and spin fluctuations: a unified framework
• Transient dynamics of the Anderson impurity model out of equilibrium
• Unified understanding of superconductivity and Mott transition in alkali-doped fullerides from first principles
• Dynamical Screening in Correlated Electron Materials
• Low-energy models for correlated materials: bandwidth renormalization from Coulombic screening
• Spectral Properties of Correlated Materials: Local Vertex and Non-Local Two-Particle Correlations from Combined GW and Dynamical Mean Field Theory
• Multitier self-consistent $GW$+EDMFT
• Mott physics and spin fluctuations: a functional viewpoint
• Extended dynamical mean-field study of the Hubbard model with long range interactions
• Dynamical screening effects in correlated materials: plasmon satellites and spectral weight transfers from a Green's function ansatz to extended dynamical mean field theory
• Competition between antiferromagnetic and charge density wave order in the half filled Hubbard-Holstein model
• Metallicity in the half-filled Holstein-Hubbard model
• Finite temperature quantum embedding theories for correlated systems
• On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime
• Inchworm Monte Carlo for exact non-adiabatic dynamics I. Theory and algorithms
• Diagrammatic Monte Carlo method for many-polaron problems
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Bipolaronic high-temperature superconductivity
• Efficient implementation of the continuous-time hybridization expansion quantum impurity solver
• $i$QIST: An open source continuous-time quantum Monte Carlo impurity solver toolkit
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Continuous-Time Quantum Monte Carlo Method for the Coqblin-Schrieffer Model
• The ALF (Algorithms for Lattice Fermions) project release 1.0. Documentation for the auxiliary field quantum Monte Carlo code
• Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
• Ordered phases in the Holstein-Hubbard model: Interplay of strong Coulomb interaction and electron-phonon coupling
• Mott physics and collective modes: an atomic approximation of the four-particle irreducible functional
• Dynamical Screening Effects in Correlated Electron Materials -- A Progress Report on Combined Many-Body Perturbation and Dynamical Mean Field Theory: "GW+DMFT"
• Dynamical screening in correlated electron systems - from lattice models to realistic materials
• Field-induced polaron formation in the Holstein-Hubbard model
• Competing Coulomb and electron-phonon interactions in NbS${}_2$
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
• A unification of the Holstein polaron and dynamic disorder pictures of charge transport in organic semiconductors
• Exotic s-wave superconductivity in alkali-doped fullerides
• Strong Coupling Limit of the Holstein-Hubbard Model
• Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe
• Self-energy and vertex functions from hybridization expansion continuous-time quantum Monte Carlo for impurity models with retarded interaction
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Dynamics of screening in photo-doped Mott insulators
• Dynamical screening in La2CuO4
• Phase Diagram of the Su-Schrieffer-Heeger-Hubbard model on a square lattice
• Antiferromagnetism induced by electron-phonon-coupling
• Quantum-classical simulation of two-site dynamical mean-field theory on noisy quantum hardware
• Excitation spectra and spin gap of the half-filled Holstein-Hubbard model
• Conservation in two-particle self-consistent extensions of dynamical-mean-field-theory
• Charge transfer and electron-phonon coupling in monolayer FeSe on Nb doped SrTiO${}_3$
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• Inclusion-Exclusion Principle for Many-Body Diagrammatics
• Accuracy of downfolding based on the constrained random phase approximation
• Spin-boson coupling in continuous-time quantum Monte Carlo
• The effects of k-dependent self-energy in the electronic structure of correlated materials
• Screening from $e_g$ states and antiferromagnetic correlations in $d^{(1,2,3)}$ perovskites: A $GW$+EDMFT investigation
• Robustness of Antiferromagnetism in the Su-Schrieffer-Heeger-Hubbard model
• Electron-phonon interaction in Strongly Correlated Systems
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Density matrix embedding theory for interacting electron-phonon systems
• Testing self-energy embedding theory in combination with GW
• Hubbard interactions in iron-based pnictides and chalcogenides: Slater parametrization, screening channels and frequency dependence
• Efficient and Flexible Approach to Simulate Low-Dimensional Quantum Lattice Models with Large Local Hilbert Spaces
• Dual Boson approach with instantaneous interaction
• A perspective on machine learning and data science for strongly correlated electron problems
• Variational Monte Carlo Method for Electron-Phonon Coupled Systems
• Solution of the "sign problem" for the half filled Hubbard-Holstein model
• A coupled cluster framework for electrons and phonons
• Chiral d-wave Superconductivity in a Triangular Surface Lattice Mediated by Long-range Interaction
• Dynamical screening in strongly correlated metal SrVO3
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Renormalization of spectra by phase competition in the half-filled Hubbard-Holstein model
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• Phonon enhancement of electronic orders and negative isotope effect in the Hubbard-Holstein model on a square lattice
• Fluctuating Nature of Light-Enhanced $d$-Wave Superconductivity: A Time-Dependent Variational Non-Gaussian Exact Diagonalization Study
• Downfolding electron-phonon Hamiltonians from ab-initio calculations: application to K${}_3$Picene
• Quantum criticality in the pseudogap Bose-Fermi Anderson and Kondo models: Interplay between fermion- and boson-induced Kondo destruction
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Gutzwiller scheme for electrons and phonons: the half-filled Hubbard-Holstein model
• Double-expansion impurity solver for multiorbital models with dynamically screened U and J
• Quantum Monte Carlo simulation of spin-boson models using wormhole updates
• Supersolid Phase Accompanied by a Quantum Critical Point in the Intermediate Coupling Regime of the Holstein Model
• Doping dependence of ordered phases and emergent quasiparticles in the doped Hubbard-Holstein model
• Bipolaronic superconductivity out of a Coulomb gas
• A spectral function tour of electron-phonon coupling outside the Migdal limit
• Charge Density Wave Ordering in NdNiO${}_2$: Effects of Multiorbital Nonlocal Correlations
• Effect of a Coulombic dot-lead coupling on the dynamics of a quantum dot
• The Holstein-Hubbard Model at Half-filling : A Static Auxiliary Field Study
• Elusive electron-phonon coupling in quantitative analyses of the spectral function
• A comparative study of nonequilibrium insulator-to-metal transitions in electron-phonon systems
• Density Functional Theory of the Hubbard-Holstein Model
• Low-energy kink in the nodal dispersion of copper-oxide superconductors: Insights from Dynamical Mean Field Theory
• Investigation of the effective interactions for the Emery model by the constrained random-phase approximation and constrained functional renormalization group
• Cavity engineering of Hubbard $U$ via phonon polaritons
• Inhomogeneous disordering at a photo-induced charge density wave transition
• Phonon-induced pairing in quantum dot quantum simulator
• A Hybrid Quantum-Classical Method for Electron-Phonon Systems
• Nonequilibrium RIXS study of an electron-phonon model
• Polarized superfluid state in a three-dimensional fermionic optical lattice
• Transport through a quantum dot with excitonic dot-lead coupling
• Continuous-Time Monte Carlo study of the pseudogap Bose-Fermi Kondo model
• Slave rotor approach to dynamically screened Coulomb interactions in solids
• Stochastic semiclassical theory for non-equilibrium electron-phonon coupled systems
• Periodic Anderson model with electron-phonon correlated conduction band
• Bose-Fermi Anderson Model with SU(2) Symmetry: Continuous-Time Quantum Monte Carlo Study
• Coexistence of $s$-wave superconductivity and phase separation in the half-filled extended Hubbard model with attractive interactions
• Competing Correlated Insulators in multi-orbital systems coupled to phonons
• Numerical solution of the t-J model with random exchange couplings in d=infinity dimensions
• Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Transient thermoelectricity in a vibrating quantum dot in Kondo regime
• Optimal Boson energy for superconductivity in the Holstein model
• Steady-state Peierls transition in nanotube quantum simulator
• High-temperature superconductivity induced by the Su-Schrieffer-Heeger electron-phonon coupling
• Spin-singlet and spin-triplet pairing correlations in antiferromagnetically coupled Kondo systems
• Strength of the Hubbard potential and its modification by breathing distortion in ${\text{BaBiO}}_3$
• Embedding Dynamical Mean-Field Theory for Superconductivity in Layered Materials and Heterostructures
• Critical local moment fluctuations and enhanced pairing correlations in a cluster Anderson model
• Antiferromagnetic and bond-order-wave phases in the half-filled two-dimensional optical Su-Schrieffer-Heeger-Hubbard model
• Intertwined fluctuations and isotope effects in the Hubbard-Holstein model on the square lattice from functional renormalization
• Static treatment of dynamic interactions in the single-orbital Anderson impurity model
• The influence of phonon symmetry and electronic structure on the electron-phonon coupling momentum dependence in cuprates
• Continuous-time Quantum Monte Carlo Approach for Impurity Anderson Models with Phonon-assisted Hybridizations
• Electron-phonon coupling in correlated materials: insights from the Hubbard-Holstein model
• Phonon-assisted insulator-metal transitions in correlated systems driven by doping
• Nonequilibrium spectral moment sum rules of the Holstein-Hubbard model
• Self-consistent $GW$+Extended Dynamical Mean Field Theory for semiconductors and insulators
• Bootstrap Embedding for Interacting Electrons in Phonon Coherent-state Mean Field
• Superfluid gap formation in a fermionic optical lattice with spin imbalanced populations